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1429669320 = 233579239631
BaseRepresentation
bin101010100110111…
…0000010111001000
310200122011201121120
41111031300113020
510411443404240
6353510435240
750266663062
oct12515602710
93618151546
101429669320
116740137a2
1233a962b20
1319a2690a1
14d7c36732
15857a5ad0
hex553705c8

1429669320 has 128 divisors (see below), whose sum is σ = 4368384000. Its totient is φ = 374250240.

The previous prime is 1429669301. The next prime is 1429669331. The reversal of 1429669320 is 239669241.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2265405 + ... + 2266035.

It is an arithmetic number, because the mean of its divisors is an integer number (34128000).

Almost surely, 21429669320 is an apocalyptic number.

1429669320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1429669320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184192000).

1429669320 is an abundant number, since it is smaller than the sum of its proper divisors (2938714680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1429669320 is a wasteful number, since it uses less digits than its factorization.

1429669320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 1429669320 is about 37810.9682499668. The cubic root of 1429669320 is about 1126.5363227400.

The spelling of 1429669320 in words is "one billion, four hundred twenty-nine million, six hundred sixty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 239 316 395 474 478 631 632 717 790 948 956 1185 1195 1262 1434 1580 1893 1896 1912 2370 2390 2524 2868 3155 3160 3585 3786 4740 4780 5048 5736 6310 7170 7572 9465 9480 9560 12620 14340 15144 18881 18930 25240 28680 37762 37860 49849 56643 75524 75720 94405 99698 113286 149547 150809 151048 188810 199396 226572 249245 283215 299094 301618 377620 398792 452427 453144 498490 566430 598188 603236 747735 754045 755240 904854 996980 1132860 1196376 1206472 1495470 1508090 1809708 1993960 2262135 2265720 2990940 3016180 3619416 4524270 5981880 6032360 9048540 11913911 18097080 23827822 35741733 47655644 59569555 71483466 95311288 119139110 142966932 178708665 238278220 285933864 357417330 476556440 714834660 1429669320